(x+60)+(2x+100)+(3x+80)=360

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Solution for (x+60)+(2x+100)+(3x+80)=360 equation:


Simplifying
(x + 60) + (2x + 100) + (3x + 80) = 360

Reorder the terms:
(60 + x) + (2x + 100) + (3x + 80) = 360

Remove parenthesis around (60 + x)
60 + x + (2x + 100) + (3x + 80) = 360

Reorder the terms:
60 + x + (100 + 2x) + (3x + 80) = 360

Remove parenthesis around (100 + 2x)
60 + x + 100 + 2x + (3x + 80) = 360

Reorder the terms:
60 + x + 100 + 2x + (80 + 3x) = 360

Remove parenthesis around (80 + 3x)
60 + x + 100 + 2x + 80 + 3x = 360

Reorder the terms:
60 + 100 + 80 + x + 2x + 3x = 360

Combine like terms: 60 + 100 = 160
160 + 80 + x + 2x + 3x = 360

Combine like terms: 160 + 80 = 240
240 + x + 2x + 3x = 360

Combine like terms: x + 2x = 3x
240 + 3x + 3x = 360

Combine like terms: 3x + 3x = 6x
240 + 6x = 360

Solving
240 + 6x = 360

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-240' to each side of the equation.
240 + -240 + 6x = 360 + -240

Combine like terms: 240 + -240 = 0
0 + 6x = 360 + -240
6x = 360 + -240

Combine like terms: 360 + -240 = 120
6x = 120

Divide each side by '6'.
x = 20

Simplifying
x = 20

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